{"id":"https://openalex.org/W2041829641","doi":"https://doi.org/10.1145/1559795.1559804","title":"Size and treewidth bounds for conjunctive queries","display_name":"Size and treewidth bounds for conjunctive queries","publication_year":2009,"publication_date":"2009-06-29","ids":{"openalex":"https://openalex.org/W2041829641","doi":"https://doi.org/10.1145/1559795.1559804","mag":"2041829641"},"language":"en","primary_location":{"id":"doi:10.1145/1559795.1559804","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1559795.1559804","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050151740","display_name":"Georg Gottlob","orcid":"https://orcid.org/0000-0002-2353-5230"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Georg Gottlob","raw_affiliation_strings":["Computing Laboratory and Oxford Man Institute of Quantitative Finance, University of Oxford, Oxford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Laboratory and Oxford Man Institute of Quantitative Finance, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001043287","display_name":"Stephanie Tien Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephanie Tien Lee","raw_affiliation_strings":["Computing Laboratory, University of Oxford, Oxford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computing Laboratory, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079503799","display_name":"Gregory Valiant","orcid":"https://orcid.org/0000-0002-2211-1073"},"institutions":[{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory J. Valiant","raw_affiliation_strings":["UC Berkeley, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UC Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2906,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77624309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"45","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.8738436698913574},{"id":"https://openalex.org/keywords/conjunctive-query","display_name":"Conjunctive query","score":0.6716213822364807},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6674460172653198},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5666581988334656},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5562230348587036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5245071649551392},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5003304481506348},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4874439537525177},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4800225794315338},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45052725076675415},{"id":"https://openalex.org/keywords/tree-decomposition","display_name":"Tree decomposition","score":0.432100385427475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42382150888442993},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3439924418926239},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.15697145462036133},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.12367966771125793},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.11177608370780945}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.8738436698913574},{"id":"https://openalex.org/C65647387","wikidata":"https://www.wikidata.org/wiki/Q1781706","display_name":"Conjunctive query","level":3,"score":0.6716213822364807},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6674460172653198},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5666581988334656},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5562230348587036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5245071649551392},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5003304481506348},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4874439537525177},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4800225794315338},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45052725076675415},{"id":"https://openalex.org/C70501317","wikidata":"https://www.wikidata.org/wiki/Q462095","display_name":"Tree decomposition","level":5,"score":0.432100385427475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42382150888442993},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3439924418926239},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.15697145462036133},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.12367966771125793},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.11177608370780945},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/1559795.1559804","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1559795.1559804","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-eighth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.216.8135","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.8135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~gvaliant/papers/GLV_pods.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.384.1389","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.384.1389","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.berkeley.edu/~pvaliant/databases.pdf","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:3ea7b3f7-368b-4744-a3f2-37c855920ed1","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:3ea7b3f7-368b-4744-a3f2-37c855920ed1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W187851124","https://openalex.org/W1480809079","https://openalex.org/W1536954034","https://openalex.org/W1558832481","https://openalex.org/W1595687138","https://openalex.org/W1969053136","https://openalex.org/W1975714036","https://openalex.org/W1975733288","https://openalex.org/W1979514837","https://openalex.org/W1985581502","https://openalex.org/W1989556004","https://openalex.org/W1991271936","https://openalex.org/W1992673035","https://openalex.org/W2014767497","https://openalex.org/W2028222220","https://openalex.org/W2028357390","https://openalex.org/W2029448190","https://openalex.org/W2032386524","https://openalex.org/W2057256946","https://openalex.org/W2064796716","https://openalex.org/W2073479529","https://openalex.org/W2122917446","https://openalex.org/W2146492010","https://openalex.org/W2167679350","https://openalex.org/W2169196165"],"related_works":["https://openalex.org/W1836127928","https://openalex.org/W1576158606","https://openalex.org/W943012151","https://openalex.org/W3169968423","https://openalex.org/W4287776616","https://openalex.org/W3100901419","https://openalex.org/W2950294966","https://openalex.org/W1988026822","https://openalex.org/W4292713356","https://openalex.org/W2041961594"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"new":[3,145],"worst-case":[4],"bounds":[5,26,53,81],"for":[6,27,82,109,131,168],"the":[7,12,28,41,45,61,83,134,156,164,170,179,185,189,192,195],"size":[8,30,84],"and":[9,43,49,97,116,160],"treewith":[10],"of":[11,15,34,37,47,60,85,122,137,158,178,191],"result":[13,29],"Q(D)":[14,86],"a":[16,21,57,66,128,138,176],"conjunctive":[17],"query":[18,62,72,139],"Q":[19],"to":[20,70,151],"database":[22],"D.":[23],"We":[24],"derive":[25,79],"|Q(D)|":[31,132],"in":[32,40,44,87,133,155,194],"terms":[33],"structural":[35],"properties":[36],"Q,":[38],"both":[39],"absence":[42,157],"presence":[46],"keys":[48,94,101,159],"functional":[50,91,142,200],"dependencies.":[51,143,201],"These":[52,104],"are":[54,95,102],"based":[55],"on":[56],"novel":[58],"\"coloring\"":[59],"variables":[63],"that":[64,187],"associates":[65],"coloring":[67,76,124,146],"number":[68],"C(Q)":[69],"each":[71],"Q.":[73],"Using":[74],"this":[75],"number,":[77],"we":[78,183],"tight":[80],"case":[88],"(i)":[89],"no":[90],"dependencies":[92],"or":[93],"specified,":[96],"(ii)":[98],"simple":[99,162],"(one-attribute)":[100],"given.":[103],"results":[105],"generalize":[106],"recent":[107],"size-bounds":[108],"join":[110],"queries":[111,167,186],"obtained":[112],"by":[113,175],"Atserias,":[114],"Grohe,":[115],"Marx":[117],"(FOCS":[118],"2008).":[119],"An":[120],"extension":[121],"our":[123],"technique":[125],"also":[126,148],"gives":[127],"lower":[129],"bound":[130],"general":[135,196],"setting":[136,197],"with":[140,161,198],"arbitrary":[141,199],"Our":[144],"scheme":[147],"allows":[149],"us":[150],"precisely":[152],"characterize":[153,184],"(both":[154],"keys)":[163],"treewidth-preserving":[165],"queries--the":[166],"which":[169],"output":[171],"treewidth":[172],"is":[173],"bounded":[174],"function":[177],"input":[180,193],"treewidth.":[181],"Finally":[182],"preserve":[188],"sparsity":[190]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}